The Australian sheep dog is a breed renowned for it s intelligence and work ethi
ID: 3250716 • Letter: T
Question
The Australian sheep dog is a breed renowned for it s intelligence and work ethic . It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 18 adult dogs is studied . What is the probability that no more than 3 of them weigh 65 lb or more ? A)09672 B)0.0082 C)0.0328 D)0.9918 The Australian sheep dog is a breed renowned for it s intelligence and work ethic . It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 18 adult dogs is studied . What is the probability that no more than 3 of them weigh 65 lb or more ? A)09672 B)0.0082 C)0.0328 D)0.9918 A)09672 B)0.0082 C)0.0328 D)0.9918Explanation / Answer
Combinations: None weigh 65lb or more, only 1 weigh 65 lb or more, 2 weigh 65lb or more and 3 weighs 65lb or more.
P(None weigh 65lb or more) = 18C0*0.6^18
P(1 weigh 65 lb or more) = 18C1*0.4*0.6^17
P(2 weigh 65 lb or more) = 18C2*0.4^2*0.6^16
P(3 weigh 65 lb or more) = 18C3*0.4^3*0.6^15
Total Probability = 0.0328(option C)
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